When a square number _ is 6, the number whose square it is, will have either 4 or 6 in the _ place

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Ends, units

Starts, units

Ends, tens

Starts, tens

answer is A.

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Detailed Solution

Concept- Here, we must select the appropriate choice to fill in the blanks. To decide which choice is valid and which is true, we will use the square and square root concepts. To determine whether the response is accurate or not, we will also utilise a few examples.
To determine which is true and to identify the best choice, we shall use squares and square roots.
The square root is the number whose square the square number is.
For instance, the square of three is nine. The square root of nine is three, thus we can state that.
Find some numbers' squares that have the digits 4 or 6 in the tens place.
1681 is the square of 41.
48 squared equals 2304.
3969 is the square of 63.
69 squared equals 4761.
We can see that it's not necessary for the square's start or end to be 6 if the number has either 4 or 6 in the tens place. Option (c) and option (d) are therefore incorrect.
We will now locate the squares of a few numbers where the unit is replaced by a 4 or a 6.
24 squared equals 576.
46 squared equals 2116.
74 squared equals 5476.
9216 is the square of 96.
We can see that the square of a number always bears the digit 6 at the end if either 4 or 6 are present in the unit's location. The number whose square it is will therefore have either 4 or 6 in the unit's place when a square number finishes in 6.
Hence, the correct answer is option 1.

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